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Linear Equations in One Variable

SAT Math· difficulty 5/5

Carla walks from home to school at 44 mph and returns at 33 mph. The total trip takes 76\frac{7}{6} hours. How far is school from home?

  • A

    2.5 miles

  • B

    1.5 miles

  • C

    2 miles

    check_circle
  • D

    3 miles

Explanation

d4+d3=76\frac{d}{4} + \frac{d}{3} = \frac{7}{6}. Multiply by 12: 3d+4d=143d + 4d = 14, so 7d=147d = 14 and d=2d = 2.

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